Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 6 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.3.164119544067243368513536.2	x^15 - 3x^14 - 5x^13 + 29x^12 - 11x^11 + 49x^10 - 225x^9 + 553x^8 - 741x^7 + 623x^6 - 295x^5 + 15x^4 + 95x^3 - 77x^2 + 29x - 5	\( 2^{18}\cdot 11^{10}\cdot 17^{6} \)	$\GL(2,4):C_2$ (as 15T21)	Trivial
15.3.164119544067243368513536.3	x^15 - 3x^14 + 5x^13 - 27x^12 + 91x^11 - 173x^10 + 479x^9 - 1589x^8 + 2907x^7 - 4065x^6 + 5371x^5 - 4533x^4 + 1069x^3 + 797x^2 - 563x + 73	\( 2^{18}\cdot 11^{10}\cdot 17^{6} \)	$\GL(2,4):C_2$ (as 15T21)	Trivial
15.15.1573247311268408410661994496.2	x^15 - 3x^14 - 43x^13 + 153x^12 + 581x^11 - 2639x^10 - 2341x^9 + 19385x^8 - 6025x^7 - 61505x^6 + 59207x^5 + 64819x^4 - 102309x^3 + 8607x^2 + 29313x - 8357	\( 2^{14}\cdot 67^{6}\cdot 101^{6} \)	$\GL(2,4):C_2$ (as 15T21)	Trivial (GRH)
15.15.1573247311268408410661994496.3	x^15 - x^14 - 47x^13 + 5x^12 + 691x^11 + 125x^10 - 4109x^9 - 1347x^8 + 9621x^7 + 6549x^6 - 7671x^5 - 9401x^4 - 1483x^3 + 1945x^2 + 985x + 139	\( 2^{14}\cdot 67^{6}\cdot 101^{6} \)	$\GL(2,4):C_2$ (as 15T21)	Trivial (GRH)
15.3.60500833661891746134479882241.1	x^15 - 18x^13 - 477x^11 - 4551x^10 - 5103x^9 + 107811x^8 + 675537x^7 + 1019238x^6 - 6688395x^5 - 45591102x^4 - 144815383x^3 - 281605005x^2 - 315011013x - 152252029	\( 3^{20}\cdot 1609^{6} \)	$\GL(2,4):C_2$ (as 15T21)	$[3]$ (GRH)
15.3.60500833661891746134479882241.2	x^15 - 96x^13 - 13x^12 + 4203x^11 + 417x^10 - 99113x^9 + 16263x^8 + 1286655x^7 - 972656x^6 - 8508177x^5 + 9764478x^4 + 23747884x^3 - 26735256x^2 - 22983852x - 26273539	\( 3^{20}\cdot 1609^{6} \)	$\GL(2,4):C_2$ (as 15T21)	$[3]$ (GRH)